title: The exact vs. approximate distinction in numerical cognition may not be exact, but only approximate: How different processes work together in multi-digit addition.
abstract: Two types of calculation processes have been distinguished in the literature: approximate processes are supposed to rely heavily on the non-verbal quantity system, whereas exact processes are assumed to crucially involve the verbal system. These two calculation processes were commonly distinguished by manipulation of two factors in addition problems: the identity of the target and the distance of the distractor. However, in all previous studies, these two factors were not manipulated independently. In this fMRI study, we could disentangle the two factors by using a different (two-digit) number stimulus set. Both behavioral and neurofunctional data suggest that the cognitive processes involved could be best explained by the (independent) factors target and distractor distance. Based on these data we suggest that the exact/approximate distinction does not seem to be as generally valid as previously assumed. We conclude that this study may be a starting point for a closer examination of the experimental, procedural and strategic conditions of when the exact/approximate distinction is valid and when it is not.
authors.affiliation: Department of Neurology, Section Neuropsychology, University Hospital, RWTH Aachen University, Pauwelsstr. 30, 52074 Aachen, Germany; Interdisciplinary Center for Clinical Research "BioMAT.", RWTH Aachen, Germany.
authors.forename: Elise
authors.initials: E
authors.lastname: Klein
authors.forename: Hans-Christoph
authors.initials: HC
authors.lastname: Nuerk
authors.forename: Guilherme
authors.initials: G
authors.lastname: Wood
authors.forename: Andre
authors.initials: A
authors.lastname: Knops
authors.forename: Klaus
authors.initials: K
authors.lastname: Willmes
mesh_terms: D000704:Analysis of Variance; D001921:Brain / Q000502:physiology*; D001931:Brain Mapping; D003071:Cognition / Q000502:physiology*; D006801:Humans; D008279:Magnetic Resonance Imaging; D008297:Male; D055641:Mathematical Concepts; D011930:Reaction Time; D012044:Regression Analysis; D013647:Task Performance and Analysis; D055815:Young Adult